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Beliebt Rechnen >

derivative of-x+6/x+1

Lösung

\frac{d}{d x} (- x + \frac{6}{x} + 1)

Lösung

- \frac{6}{x ^{2}} - 1

Schritte zur Lösung

\frac{d}{d x} (- x + \frac{6}{x} + 1)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d x}{d x} + \frac{d}{d x} (\frac{6}{x}) + \frac{d}{d x} (1)

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

\frac{d}{d x} (1) = 0

= - 1 - \frac{6}{x ^{2}} + 0

Vereinfache

= - \frac{6}{x ^{2}} - 1

Graph

Beliebte Beispiele

integral of (2x+3)/(x^3+x)

\int \frac{2 x + 3}{x ^{3} + x} d x

integral from-2 to 2 of-x^2+4

\int_{- 2}^{2} - x^{2} + 4 d x

derivative of \sqrt[3]{x^2+3}

\frac{d}{d x} (3 x^{2} + 3)

(dy)/(dx)=9.8-0.2y

\frac{d y}{d x} = 9.8 - 0.2 y

laplacetransform (2+t)^4

l a pl a ce t r an s f or m (2 + t)^{4}